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# Describe a use for the Remainder Theorem. # Describe a use for the Remainder Theorem.

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Polynomial division asked 2021-03-08
Describe a use for the Remainder Theorem.

## Answers (1) 2021-03-09
Concept used:
Remainder theorem states that “If a polynomial f(x)is divided by x — k, then the remainder is the value f(k)”
We can use polynomial division to evaluate polynomials using the Remainder Theorem. If the polynomial is divided by x - k, the remainder is r, then this value equals the value of the polynomial function at k, that is, f(k). So this helps to evaluate the polynomial at a given value of x. Since the division is done by a linear factor, we can use the synthetic division method.

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Use long division to rewrite the equation for g in the form
$$\text{quotient}+\frac{remainder}{divisor}$$
Then use this form of the function's equation and transformations of
$$\displaystyle{f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}}}}$$
to graph g.
$$\displaystyle{g{{\left({x}\right)}}}={\frac{{{3}{x}-{7}}}{{{x}-{2}}}}$$

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